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Finding the Fourth Proportional to 6,953.02, 10,420.49 and 5,303.50

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Solution

The fourth proportional to 6,953.02, 10,420.49 and 5,303.50 is: 7,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.02 : 10,420.49 = 5,303.50 : x
  2. Step 2: Convert to fraction form
    6,953.02/10,420.49 = 5,303.50/x
  3. Step 3: Cross multiply
    6,953.02x = 10,420.49 × 5,303.50
  4. Step 4: Simplify right side
    6,953.02x = 55,265,068.72
  5. Step 5: Solve for x
    x = 55,265,068.72/6,953.02
  6. Step 6: Final answer
    x = 7,948.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.