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Finding the Fourth Proportional to 10,564.14, 14,566.59 and 7,903.02

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Solution

The fourth proportional to 10,564.14, 14,566.59 and 7,903.02 is: 10,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.14 : 14,566.59 = 7,903.02 : x
  2. Step 2: Convert to fraction form
    10,564.14/14,566.59 = 7,903.02/x
  3. Step 3: Cross multiply
    10,564.14x = 14,566.59 × 7,903.02
  4. Step 4: Simplify right side
    10,564.14x = 115,120,052.10
  5. Step 5: Solve for x
    x = 115,120,052.10/10,564.14
  6. Step 6: Final answer
    x = 10,897.25

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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.