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Finding the Fourth Proportional to 10,598.66, 15,913.61 and 5,927.83

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Solution

The fourth proportional to 10,598.66, 15,913.61 and 5,927.83 is: 8,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.66 : 15,913.61 = 5,927.83 : x
  2. Step 2: Convert to fraction form
    10,598.66/15,913.61 = 5,927.83/x
  3. Step 3: Cross multiply
    10,598.66x = 15,913.61 × 5,927.83
  4. Step 4: Simplify right side
    10,598.66x = 94,333,105.34
  5. Step 5: Solve for x
    x = 94,333,105.34/10,598.66
  6. Step 6: Final answer
    x = 8,900.47

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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.