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Finding the Fourth Proportional to 10,130.94, 15,204.09 and 7,032.66

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Solution

The fourth proportional to 10,130.94, 15,204.09 and 7,032.66 is: 10,554.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130.94 : 15,204.09 = 7,032.66 : x
  2. Step 2: Convert to fraction form
    10,130.94/15,204.09 = 7,032.66/x
  3. Step 3: Cross multiply
    10,130.94x = 15,204.09 × 7,032.66
  4. Step 4: Simplify right side
    10,130.94x = 106,925,195.58
  5. Step 5: Solve for x
    x = 106,925,195.58/10,130.94
  6. Step 6: Final answer
    x = 10,554.32

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