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Finding the Fourth Proportional to 7,787.03, 10,746.10 and 4,430.50

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Solution

The fourth proportional to 7,787.03, 10,746.10 and 4,430.50 is: 6,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.03 : 10,746.10 = 4,430.50 : x
  2. Step 2: Convert to fraction form
    7,787.03/10,746.10 = 4,430.50/x
  3. Step 3: Cross multiply
    7,787.03x = 10,746.10 × 4,430.50
  4. Step 4: Simplify right side
    7,787.03x = 47,610,574.72
  5. Step 5: Solve for x
    x = 47,610,574.72/7,787.03
  6. Step 6: Final answer
    x = 6,114.09

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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.