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Finding the Fourth Proportional to 7,703.61, 10,631.10 and 4,346.58

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Solution

The fourth proportional to 7,703.61, 10,631.10 and 4,346.58 is: 5,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.61 : 10,631.10 = 4,346.58 : x
  2. Step 2: Convert to fraction form
    7,703.61/10,631.10 = 4,346.58/x
  3. Step 3: Cross multiply
    7,703.61x = 10,631.10 × 4,346.58
  4. Step 4: Simplify right side
    7,703.61x = 46,208,926.64
  5. Step 5: Solve for x
    x = 46,208,926.64/7,703.61
  6. Step 6: Final answer
    x = 5,998.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.