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Finding the Fourth Proportional to 10,547.34, 14,555.43 and 5,831.70

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Solution

The fourth proportional to 10,547.34, 14,555.43 and 5,831.70 is: 8,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.34 : 14,555.43 = 5,831.70 : x
  2. Step 2: Convert to fraction form
    10,547.34/14,555.43 = 5,831.70/x
  3. Step 3: Cross multiply
    10,547.34x = 14,555.43 × 5,831.70
  4. Step 4: Simplify right side
    10,547.34x = 84,882,901.13
  5. Step 5: Solve for x
    x = 84,882,901.13/10,547.34
  6. Step 6: Final answer
    x = 8,047.80

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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.