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Finding the Fourth Proportional to 10,607.51, 15,913.82 and 7,493.58

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Solution

The fourth proportional to 10,607.51, 15,913.82 and 7,493.58 is: 11,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.51 : 15,913.82 = 7,493.58 : x
  2. Step 2: Convert to fraction form
    10,607.51/15,913.82 = 7,493.58/x
  3. Step 3: Cross multiply
    10,607.51x = 15,913.82 × 7,493.58
  4. Step 4: Simplify right side
    10,607.51x = 119,251,502.01
  5. Step 5: Solve for x
    x = 119,251,502.01/10,607.51
  6. Step 6: Final answer
    x = 11,242.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.