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Finding the Fourth Proportional to 7,303.04, 10,077.60 and 4,160

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Solution

The fourth proportional to 7,303.04, 10,077.60 and 4,160 is: 5,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.04 : 10,077.60 = 4,160 : x
  2. Step 2: Convert to fraction form
    7,303.04/10,077.60 = 4,160/x
  3. Step 3: Cross multiply
    7,303.04x = 10,077.60 × 4,160
  4. Step 4: Simplify right side
    7,303.04x = 41,922,816
  5. Step 5: Solve for x
    x = 41,922,816/7,303.04
  6. Step 6: Final answer
    x = 5,740.46

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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.