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Finding the Fourth Proportional to 13,053.18, 19,582.56 and 5,262

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Solution

The fourth proportional to 13,053.18, 19,582.56 and 5,262 is: 7,894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.18 : 19,582.56 = 5,262 : x
  2. Step 2: Convert to fraction form
    13,053.18/19,582.56 = 5,262/x
  3. Step 3: Cross multiply
    13,053.18x = 19,582.56 × 5,262
  4. Step 4: Simplify right side
    13,053.18x = 103,043,430.72
  5. Step 5: Solve for x
    x = 103,043,430.72/13,053.18
  6. Step 6: Final answer
    x = 7,894.12

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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.