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Finding the Fourth Proportional to 6,507.72, 8,981.82 and 4,737.06

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Solution

The fourth proportional to 6,507.72, 8,981.82 and 4,737.06 is: 6,537.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.72 : 8,981.82 = 4,737.06 : x
  2. Step 2: Convert to fraction form
    6,507.72/8,981.82 = 4,737.06/x
  3. Step 3: Cross multiply
    6,507.72x = 8,981.82 × 4,737.06
  4. Step 4: Simplify right side
    6,507.72x = 42,547,420.25
  5. Step 5: Solve for x
    x = 42,547,420.25/6,507.72
  6. Step 6: Final answer
    x = 6,537.99

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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.