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Finding the Fourth Proportional to 10,547.68, 14,555.70 and 5,831.92

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Solution

The fourth proportional to 10,547.68, 14,555.70 and 5,831.92 is: 8,048.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.68 : 14,555.70 = 5,831.92 : x
  2. Step 2: Convert to fraction form
    10,547.68/14,555.70 = 5,831.92/x
  3. Step 3: Cross multiply
    10,547.68x = 14,555.70 × 5,831.92
  4. Step 4: Simplify right side
    10,547.68x = 84,887,677.94
  5. Step 5: Solve for x
    x = 84,887,677.94/10,547.68
  6. Step 6: Final answer
    x = 8,048.00

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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.