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Finding the Fourth Proportional to 10,058.54, 13,880.52 and 5,582.28

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Solution

The fourth proportional to 10,058.54, 13,880.52 and 5,582.28 is: 7,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.54 : 13,880.52 = 5,582.28 : x
  2. Step 2: Convert to fraction form
    10,058.54/13,880.52 = 5,582.28/x
  3. Step 3: Cross multiply
    10,058.54x = 13,880.52 × 5,582.28
  4. Step 4: Simplify right side
    10,058.54x = 77,484,949.19
  5. Step 5: Solve for x
    x = 77,484,949.19/10,058.54
  6. Step 6: Final answer
    x = 7,703.40

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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.