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Finding the Fourth Proportional to 10,615.61, 14,655.94 and 7,033.60

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Solution

The fourth proportional to 10,615.61, 14,655.94 and 7,033.60 is: 9,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.61 : 14,655.94 = 7,033.60 : x
  2. Step 2: Convert to fraction form
    10,615.61/14,655.94 = 7,033.60/x
  3. Step 3: Cross multiply
    10,615.61x = 14,655.94 × 7,033.60
  4. Step 4: Simplify right side
    10,615.61x = 103,084,019.58
  5. Step 5: Solve for x
    x = 103,084,019.58/10,615.61
  6. Step 6: Final answer
    x = 9,710.61

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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.