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Finding the Fourth Proportional to 10,078.78, 15,117.69 and 3,058.48

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Solution

The fourth proportional to 10,078.78, 15,117.69 and 3,058.48 is: 4,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.78 : 15,117.69 = 3,058.48 : x
  2. Step 2: Convert to fraction form
    10,078.78/15,117.69 = 3,058.48/x
  3. Step 3: Cross multiply
    10,078.78x = 15,117.69 × 3,058.48
  4. Step 4: Simplify right side
    10,078.78x = 46,237,152.51
  5. Step 5: Solve for x
    x = 46,237,152.51/10,078.78
  6. Step 6: Final answer
    x = 4,587.57

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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.