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Finding the Fourth Proportional to 10,620.36, 14,656.32 and 6,985.08

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Solution

The fourth proportional to 10,620.36, 14,656.32 and 6,985.08 is: 9,639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.36 : 14,656.32 = 6,985.08 : x
  2. Step 2: Convert to fraction form
    10,620.36/14,656.32 = 6,985.08/x
  3. Step 3: Cross multiply
    10,620.36x = 14,656.32 × 6,985.08
  4. Step 4: Simplify right side
    10,620.36x = 102,375,567.71
  5. Step 5: Solve for x
    x = 102,375,567.71/10,620.36
  6. Step 6: Final answer
    x = 9,639.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.