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Finding the Fourth Proportional to 10,564.55, 14,580.08 and 6,315.63

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Solution

The fourth proportional to 10,564.55, 14,580.08 and 6,315.63 is: 8,716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.55 : 14,580.08 = 6,315.63 : x
  2. Step 2: Convert to fraction form
    10,564.55/14,580.08 = 6,315.63/x
  3. Step 3: Cross multiply
    10,564.55x = 14,580.08 × 6,315.63
  4. Step 4: Simplify right side
    10,564.55x = 92,082,286.17
  5. Step 5: Solve for x
    x = 92,082,286.17/10,564.55
  6. Step 6: Final answer
    x = 8,716.16

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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.