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Finding the Fourth Proportional to 10,490.08, 15,737.64 and 4,648.36

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Solution

The fourth proportional to 10,490.08, 15,737.64 and 4,648.36 is: 6,973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.08 : 15,737.64 = 4,648.36 : x
  2. Step 2: Convert to fraction form
    10,490.08/15,737.64 = 4,648.36/x
  3. Step 3: Cross multiply
    10,490.08x = 15,737.64 × 4,648.36
  4. Step 4: Simplify right side
    10,490.08x = 73,154,216.27
  5. Step 5: Solve for x
    x = 73,154,216.27/10,490.08
  6. Step 6: Final answer
    x = 6,973.66

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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.