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Finding the Fourth Proportional to 10,332.63, 14,258.16 and 6,556.41

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Solution

The fourth proportional to 10,332.63, 14,258.16 and 6,556.41 is: 9,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.63 : 14,258.16 = 6,556.41 : x
  2. Step 2: Convert to fraction form
    10,332.63/14,258.16 = 6,556.41/x
  3. Step 3: Cross multiply
    10,332.63x = 14,258.16 × 6,556.41
  4. Step 4: Simplify right side
    10,332.63x = 93,482,342.81
  5. Step 5: Solve for x
    x = 93,482,342.81/10,332.63
  6. Step 6: Final answer
    x = 9,047.29

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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.