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Finding the Fourth Proportional to 10,423.83, 14,384.85 and 5,708.10

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Solution

The fourth proportional to 10,423.83, 14,384.85 and 5,708.10 is: 7,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.83 : 14,384.85 = 5,708.10 : x
  2. Step 2: Convert to fraction form
    10,423.83/14,384.85 = 5,708.10/x
  3. Step 3: Cross multiply
    10,423.83x = 14,384.85 × 5,708.10
  4. Step 4: Simplify right side
    10,423.83x = 82,110,162.29
  5. Step 5: Solve for x
    x = 82,110,162.29/10,423.83
  6. Step 6: Final answer
    x = 7,877.16

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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.