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Finding the Fourth Proportional to 10,374.47, 14,316.34 and 5,658.47

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Solution

The fourth proportional to 10,374.47, 14,316.34 and 5,658.47 is: 7,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.47 : 14,316.34 = 5,658.47 : x
  2. Step 2: Convert to fraction form
    10,374.47/14,316.34 = 5,658.47/x
  3. Step 3: Cross multiply
    10,374.47x = 14,316.34 × 5,658.47
  4. Step 4: Simplify right side
    10,374.47x = 81,008,552.11
  5. Step 5: Solve for x
    x = 81,008,552.11/10,374.47
  6. Step 6: Final answer
    x = 7,808.45

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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.