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Finding the Fourth Proportional to 10,117.45, 15,178.00 and 4,573.40

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Solution

The fourth proportional to 10,117.45, 15,178.00 and 4,573.40 is: 6,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.45 : 15,178.00 = 4,573.40 : x
  2. Step 2: Convert to fraction form
    10,117.45/15,178.00 = 4,573.40/x
  3. Step 3: Cross multiply
    10,117.45x = 15,178.00 × 4,573.40
  4. Step 4: Simplify right side
    10,117.45x = 69,415,091.71
  5. Step 5: Solve for x
    x = 69,415,091.71/10,117.45
  6. Step 6: Final answer
    x = 6,860.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.