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Finding the Fourth Proportional to 10,585.84, 15,878.76 and 6,233.68

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Solution

The fourth proportional to 10,585.84, 15,878.76 and 6,233.68 is: 9,350.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.84 : 15,878.76 = 6,233.68 : x
  2. Step 2: Convert to fraction form
    10,585.84/15,878.76 = 6,233.68/x
  3. Step 3: Cross multiply
    10,585.84x = 15,878.76 × 6,233.68
  4. Step 4: Simplify right side
    10,585.84x = 98,983,108.64
  5. Step 5: Solve for x
    x = 98,983,108.64/10,585.84
  6. Step 6: Final answer
    x = 9,350.52

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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.