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Finding the Fourth Proportional to 10,970.54, 15,123.60 and 7,821.26

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Solution

The fourth proportional to 10,970.54, 15,123.60 and 7,821.26 is: 10,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.54 : 15,123.60 = 7,821.26 : x
  2. Step 2: Convert to fraction form
    10,970.54/15,123.60 = 7,821.26/x
  3. Step 3: Cross multiply
    10,970.54x = 15,123.60 × 7,821.26
  4. Step 4: Simplify right side
    10,970.54x = 118,285,607.74
  5. Step 5: Solve for x
    x = 118,285,607.74/10,970.54
  6. Step 6: Final answer
    x = 10,782.11

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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.