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Finding the Fourth Proportional to 10,500.64, 15,740.16 and 4,660

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Solution

The fourth proportional to 10,500.64, 15,740.16 and 4,660 is: 6,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.64 : 15,740.16 = 4,660 : x
  2. Step 2: Convert to fraction form
    10,500.64/15,740.16 = 4,660/x
  3. Step 3: Cross multiply
    10,500.64x = 15,740.16 × 4,660
  4. Step 4: Simplify right side
    10,500.64x = 73,349,145.60
  5. Step 5: Solve for x
    x = 73,349,145.60/10,500.64
  6. Step 6: Final answer
    x = 6,985.21

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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.