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Finding the Fourth Proportional to 6,934.50, 10,402.65 and 2,552.01

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Solution

The fourth proportional to 6,934.50, 10,402.65 and 2,552.01 is: 3,828.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.50 : 10,402.65 = 2,552.01 : x
  2. Step 2: Convert to fraction form
    6,934.50/10,402.65 = 2,552.01/x
  3. Step 3: Cross multiply
    6,934.50x = 10,402.65 × 2,552.01
  4. Step 4: Simplify right side
    6,934.50x = 26,547,666.83
  5. Step 5: Solve for x
    x = 26,547,666.83/6,934.50
  6. Step 6: Final answer
    x = 3,828.35

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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.