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Finding the Fourth Proportional to 10,070.90, 13,898.46 and 5,594.68

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Solution

The fourth proportional to 10,070.90, 13,898.46 and 5,594.68 is: 7,721.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.90 : 13,898.46 = 5,594.68 : x
  2. Step 2: Convert to fraction form
    10,070.90/13,898.46 = 5,594.68/x
  3. Step 3: Cross multiply
    10,070.90x = 13,898.46 × 5,594.68
  4. Step 4: Simplify right side
    10,070.90x = 77,757,436.19
  5. Step 5: Solve for x
    x = 77,757,436.19/10,070.90
  6. Step 6: Final answer
    x = 7,721.00

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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.