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Finding the Fourth Proportional to 10,521.63, 15,772.59 and 5,253.39

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Solution

The fourth proportional to 10,521.63, 15,772.59 and 5,253.39 is: 7,875.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.63 : 15,772.59 = 5,253.39 : x
  2. Step 2: Convert to fraction form
    10,521.63/15,772.59 = 5,253.39/x
  3. Step 3: Cross multiply
    10,521.63x = 15,772.59 × 5,253.39
  4. Step 4: Simplify right side
    10,521.63x = 82,859,566.58
  5. Step 5: Solve for x
    x = 82,859,566.58/10,521.63
  6. Step 6: Final answer
    x = 7,875.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.