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Finding the Fourth Proportional to 10,328.64, 15,507.54 and 6,570.65

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Solution

The fourth proportional to 10,328.64, 15,507.54 and 6,570.65 is: 9,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328.64 : 15,507.54 = 6,570.65 : x
  2. Step 2: Convert to fraction form
    10,328.64/15,507.54 = 6,570.65/x
  3. Step 3: Cross multiply
    10,328.64x = 15,507.54 × 6,570.65
  4. Step 4: Simplify right side
    10,328.64x = 101,894,540.16
  5. Step 5: Solve for x
    x = 101,894,540.16/10,328.64
  6. Step 6: Final answer
    x = 9,865.24

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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.