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Finding the Fourth Proportional to 10,598.42, 15,913.23 and 5,927.58

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Solution

The fourth proportional to 10,598.42, 15,913.23 and 5,927.58 is: 8,900.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.42 : 15,913.23 = 5,927.58 : x
  2. Step 2: Convert to fraction form
    10,598.42/15,913.23 = 5,927.58/x
  3. Step 3: Cross multiply
    10,598.42x = 15,913.23 × 5,927.58
  4. Step 4: Simplify right side
    10,598.42x = 94,326,834.68
  5. Step 5: Solve for x
    x = 94,326,834.68/10,598.42
  6. Step 6: Final answer
    x = 8,900.09

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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.