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Finding the Fourth Proportional to 10,521.16, 15,784.47 and 8,650.13

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Solution

The fourth proportional to 10,521.16, 15,784.47 and 8,650.13 is: 12,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.16 : 15,784.47 = 8,650.13 : x
  2. Step 2: Convert to fraction form
    10,521.16/15,784.47 = 8,650.13/x
  3. Step 3: Cross multiply
    10,521.16x = 15,784.47 × 8,650.13
  4. Step 4: Simplify right side
    10,521.16x = 136,537,638.56
  5. Step 5: Solve for x
    x = 136,537,638.56/10,521.16
  6. Step 6: Final answer
    x = 12,977.44

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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.