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Finding the Fourth Proportional to 10,478.80, 15,718.20 and 10,075.60

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Solution

The fourth proportional to 10,478.80, 15,718.20 and 10,075.60 is: 15,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.80 : 15,718.20 = 10,075.60 : x
  2. Step 2: Convert to fraction form
    10,478.80/15,718.20 = 10,075.60/x
  3. Step 3: Cross multiply
    10,478.80x = 15,718.20 × 10,075.60
  4. Step 4: Simplify right side
    10,478.80x = 158,370,295.92
  5. Step 5: Solve for x
    x = 158,370,295.92/10,478.80
  6. Step 6: Final answer
    x = 15,113.40

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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.