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Finding the Fourth Proportional to 7,804.10, 10,763.60 and 4,656.98

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Solution

The fourth proportional to 7,804.10, 10,763.60 and 4,656.98 is: 6,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.10 : 10,763.60 = 4,656.98 : x
  2. Step 2: Convert to fraction form
    7,804.10/10,763.60 = 4,656.98/x
  3. Step 3: Cross multiply
    7,804.10x = 10,763.60 × 4,656.98
  4. Step 4: Simplify right side
    7,804.10x = 50,125,869.93
  5. Step 5: Solve for x
    x = 50,125,869.93/7,804.10
  6. Step 6: Final answer
    x = 6,423.02

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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.