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Finding the Fourth Proportional to 10,564.74, 14,580.45 and 7,907.49

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Solution

The fourth proportional to 10,564.74, 14,580.45 and 7,907.49 is: 10,913.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.74 : 14,580.45 = 7,907.49 : x
  2. Step 2: Convert to fraction form
    10,564.74/14,580.45 = 7,907.49/x
  3. Step 3: Cross multiply
    10,564.74x = 14,580.45 × 7,907.49
  4. Step 4: Simplify right side
    10,564.74x = 115,294,762.57
  5. Step 5: Solve for x
    x = 115,294,762.57/10,564.74
  6. Step 6: Final answer
    x = 10,913.17

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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.