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Finding the Fourth Proportional to 7,803.35, 10,762.57 and 4,656.23

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Solution

The fourth proportional to 7,803.35, 10,762.57 and 4,656.23 is: 6,421.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.35 : 10,762.57 = 4,656.23 : x
  2. Step 2: Convert to fraction form
    7,803.35/10,762.57 = 4,656.23/x
  3. Step 3: Cross multiply
    7,803.35x = 10,762.57 × 4,656.23
  4. Step 4: Simplify right side
    7,803.35x = 50,113,001.31
  5. Step 5: Solve for x
    x = 50,113,001.31/7,803.35
  6. Step 6: Final answer
    x = 6,421.99

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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.