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Finding the Fourth Proportional to 10,437.59, 14,403.92 and 5,657.54

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Solution

The fourth proportional to 10,437.59, 14,403.92 and 5,657.54 is: 7,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.59 : 14,403.92 = 5,657.54 : x
  2. Step 2: Convert to fraction form
    10,437.59/14,403.92 = 5,657.54/x
  3. Step 3: Cross multiply
    10,437.59x = 14,403.92 × 5,657.54
  4. Step 4: Simplify right side
    10,437.59x = 81,490,653.25
  5. Step 5: Solve for x
    x = 81,490,653.25/10,437.59
  6. Step 6: Final answer
    x = 7,807.42

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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.