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Finding the Fourth Proportional to 7,111.24, 9,822.24 and 4,880.50

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Solution

The fourth proportional to 7,111.24, 9,822.24 and 4,880.50 is: 6,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.24 : 9,822.24 = 4,880.50 : x
  2. Step 2: Convert to fraction form
    7,111.24/9,822.24 = 4,880.50/x
  3. Step 3: Cross multiply
    7,111.24x = 9,822.24 × 4,880.50
  4. Step 4: Simplify right side
    7,111.24x = 47,937,442.32
  5. Step 5: Solve for x
    x = 47,937,442.32/7,111.24
  6. Step 6: Final answer
    x = 6,741.08

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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.