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Finding the Fourth Proportional to 8,210.46, 12,301.10 and 4,700.32

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Solution

The fourth proportional to 8,210.46, 12,301.10 and 4,700.32 is: 7,042.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.46 : 12,301.10 = 4,700.32 : x
  2. Step 2: Convert to fraction form
    8,210.46/12,301.10 = 4,700.32/x
  3. Step 3: Cross multiply
    8,210.46x = 12,301.10 × 4,700.32
  4. Step 4: Simplify right side
    8,210.46x = 57,819,106.35
  5. Step 5: Solve for x
    x = 57,819,106.35/8,210.46
  6. Step 6: Final answer
    x = 7,042.13

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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.