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Finding the Fourth Proportional to 7,046, 10,569.16 and 2,665.52

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Solution

The fourth proportional to 7,046, 10,569.16 and 2,665.52 is: 3,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046 : 10,569.16 = 2,665.52 : x
  2. Step 2: Convert to fraction form
    7,046/10,569.16 = 2,665.52/x
  3. Step 3: Cross multiply
    7,046x = 10,569.16 × 2,665.52
  4. Step 4: Simplify right side
    7,046x = 28,172,307.36
  5. Step 5: Solve for x
    x = 28,172,307.36/7,046
  6. Step 6: Final answer
    x = 3,998.34

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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.