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Finding the Fourth Proportional to 10,374.08, 14,316 and 5,658.56

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Solution

The fourth proportional to 10,374.08, 14,316 and 5,658.56 is: 7,808.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.08 : 14,316 = 5,658.56 : x
  2. Step 2: Convert to fraction form
    10,374.08/14,316 = 5,658.56/x
  3. Step 3: Cross multiply
    10,374.08x = 14,316 × 5,658.56
  4. Step 4: Simplify right side
    10,374.08x = 81,007,944.96
  5. Step 5: Solve for x
    x = 81,007,944.96/10,374.08
  6. Step 6: Final answer
    x = 7,808.69

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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.