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Finding the Fourth Proportional to 10,053.60, 15,078 and 3,032.16

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Solution

The fourth proportional to 10,053.60, 15,078 and 3,032.16 is: 4,547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.60 : 15,078 = 3,032.16 : x
  2. Step 2: Convert to fraction form
    10,053.60/15,078 = 3,032.16/x
  3. Step 3: Cross multiply
    10,053.60x = 15,078 × 3,032.16
  4. Step 4: Simplify right side
    10,053.60x = 45,718,908.48
  5. Step 5: Solve for x
    x = 45,718,908.48/10,053.60
  6. Step 6: Final answer
    x = 4,547.52

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Why These Related Problems?

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