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Finding the Fourth Proportional to 7,014, 10,521.60 and 2,397.12

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Solution

The fourth proportional to 7,014, 10,521.60 and 2,397.12 is: 3,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014 : 10,521.60 = 2,397.12 : x
  2. Step 2: Convert to fraction form
    7,014/10,521.60 = 2,397.12/x
  3. Step 3: Cross multiply
    7,014x = 10,521.60 × 2,397.12
  4. Step 4: Simplify right side
    7,014x = 25,221,537.79
  5. Step 5: Solve for x
    x = 25,221,537.79/7,014
  6. Step 6: Final answer
    x = 3,595.89

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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.