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Finding the Fourth Proportional to 10,521.32, 15,774.72 and 7,012.40

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Solution

The fourth proportional to 10,521.32, 15,774.72 and 7,012.40 is: 10,513.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.32 : 15,774.72 = 7,012.40 : x
  2. Step 2: Convert to fraction form
    10,521.32/15,774.72 = 7,012.40/x
  3. Step 3: Cross multiply
    10,521.32x = 15,774.72 × 7,012.40
  4. Step 4: Simplify right side
    10,521.32x = 110,618,646.53
  5. Step 5: Solve for x
    x = 110,618,646.53/10,521.32
  6. Step 6: Final answer
    x = 10,513.76

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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.