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Finding the Fourth Proportional to 10,437.48, 14,403.78 and 5,657.46

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Solution

The fourth proportional to 10,437.48, 14,403.78 and 5,657.46 is: 7,807.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.48 : 14,403.78 = 5,657.46 : x
  2. Step 2: Convert to fraction form
    10,437.48/14,403.78 = 5,657.46/x
  3. Step 3: Cross multiply
    10,437.48x = 14,403.78 × 5,657.46
  4. Step 4: Simplify right side
    10,437.48x = 81,488,809.20
  5. Step 5: Solve for x
    x = 81,488,809.20/10,437.48
  6. Step 6: Final answer
    x = 7,807.33

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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.