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Finding the Fourth Proportional to 10,386.30, 14,332.54 and 5,669.67

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Solution

The fourth proportional to 10,386.30, 14,332.54 and 5,669.67 is: 7,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.30 : 14,332.54 = 5,669.67 : x
  2. Step 2: Convert to fraction form
    10,386.30/14,332.54 = 5,669.67/x
  3. Step 3: Cross multiply
    10,386.30x = 14,332.54 × 5,669.67
  4. Step 4: Simplify right side
    10,386.30x = 81,260,772.06
  5. Step 5: Solve for x
    x = 81,260,772.06/10,386.30
  6. Step 6: Final answer
    x = 7,823.84

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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.